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Reptile [31]
3 years ago
15

CAN SOMEONE PLEASE HELP ME GOOD, I need this to graduate ): 5. Given that AABC - ADEC, find the

Mathematics
1 answer:
denpristay [2]3 years ago
3 0

Answer:

ans: 4

Step-by-step explanation:

corresponding sides are proportional since given triangle are similar triangle, I.e

(4/5.5) = { (2x+8)/(6x-2)}

8/11 = ( x+ 4 ) / ( 3x - 1 )

8( 3x - 1 )= 11( x + 4 )

24x - 8 = 11x + 44

13x = 52

x = 4

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Find the exact values of the six trigonometric functions of the given angle. If any are not defined, say "not defined." Do not u
Solnce55 [7]

Answer:

Step-by-step explanation:

Let's take a look at the given angle 135°

The sketch of the angle which corresponds to -\dfrac{3\pi}{4} unit circle and can be seen in the attached image below;

The trigonometric ratios are as follows for an angle θ on the unit circle:

Trigonometric ratio           related ratio on coordinate axes

sin θ                                     \dfrac{y}{1}

cos θ                                    \dfrac{x}{1}

tan θ                                     \dfrac{y}{x}

csc θ                                     \dfrac{1}{y}

sec θ                                     \dfrac{1}{x}

cot θ                                      \dfrac{x}{y}

From the sketch of the image attached below;

The six trigonometric ratio for 135° can be expressed as follows:

sin (-\dfrac{3\pi}{4})= \dfrac{y}{1}

sin (-\dfrac{3\pi}{4})=- \dfrac{\sqrt{2}}{2}

cos (-\dfrac{3\pi}{4})= \dfrac{x}{1}

cos (-\dfrac{3\pi}{4})= -\dfrac{\sqrt{2}}{2}

tan (-\dfrac{3\pi}{4})= \dfrac{y}{x}

tan (-\dfrac{3\pi}{4})= \dfrac{-\dfrac{\sqrt{2}}{2}}{-\dfrac{\sqrt{2}}{2}}

tan (-\dfrac{3\pi}{4})= -\dfrac{\sqrt{2}}{2}} \times {-\dfrac{2}{\sqrt{2}}

tan (-\dfrac{3\pi}{4})= 1

csc (-\dfrac{3\pi}{4})= \dfrac{1}{y} \\ \\ csc (-\dfrac{3\pi}{4})=\dfrac{1}{-\dfrac{\sqrt{2}}{2}} \\ \\ csc=1 \times -\dfrac{2}{\sqrt{2}} \\ \\csc =-\sqrt{2}

sec (-\dfrac{3 \pi}{4})=\dfrac{1}{x} \\ \\  sec = \dfrac{1}{(-\dfrac{\sqrt{2}}{2})} \\ \\ sec = 1 \times -\dfrac{2}{\sqrt{2}}  \\ \\  sec = - \sqrt{2}

cot(-\dfrac{3 \pi}{4}) = \dfrac{x}{y} \\ \\ cot(-\dfrac{3 \pi}{4}) = \dfrac{-\dfrac{\sqrt{2}}{2} }{-\dfrac{\sqrt{2}}{2}} \\ \\  cot(-\dfrac{3 \pi}{4})=  -\dfrac{\sqrt{2}}{2} } \times {-\dfrac{2}{\sqrt{2}}} \\ \\  cot (-\dfrac{3 \pi}{4}) = 1

4 0
3 years ago
I’m not sure how to do this
Brums [2.3K]

Answer: lim as x → -5 of f(x) and g(x) = 300

               Domain of f(x) and g(x) is All Real Numbers

               f(-5) = 200

               g(-5) = 300

<u>Step-by-step explanation:</u>

The limit of f(x) as x approaches -5:

f(x) =\dfrac{4x^3+500}{x+5}\\\\\\.\qquad =\dfrac{4(x^3+125)}{x+5}\\\\\\.\qquad =\dfrac{4(x^3+5^3)}{x+5}\qquad \text{we can factor the cubic}\\\\\\.\qquad =\dfrac{4(x+5)(x^2-5x+25)}{x+5}\\\\\\.\qquad =4(x^2-5x+25)\\\\\\\text{as x approaches -5, f(x) = }4[(-5)^2-5(-5)+25]\\\\.\qquad \qquad \qquad \qquad \qquad =4(25 + 25 + 25)\\\\.\qquad \qquad \qquad \qquad \qquad =4(75)\\\\.\qquad \qquad \qquad \qquad \qquad =300

The limit of g(x) as x approaches -5:

g(x) = 4x² - 20x + 100

      = 4(-5)² - 20(-5) + 100

      = 100 + 100 + 100

      = 300

There is a restriction at x = -5 for f(x), however, that discontinuity has been filled with the 200 at x = -5. So the domain is ALL REAL NUMBERs.

There are no restrictions on x for g(x) so the domain is ALL REAL NUMBERs.

5 0
3 years ago
If there is 123 trees and 15% is you land how much is the rest
ira [324]
Well 15% of 123 is 18.45, so that's how much you own. 81.55% is the trees you don't own.
8 0
3 years ago
Help please! ASAP!!
elena55 [62]

Answer:

Correct

Step-by-step explanation:

Amount of granular of 10 batch of raisin nut = 28 cups

To find raisin nut 30 batches = 28 x 3 = 84

Amount of granula of 10 batch of honey almond energy = 42

To find honey almond 15 batches = 42 + 21 = 63

3 0
3 years ago
2(2w - 6) + 2(w) = 3(w + 8)
borishaifa [10]

Answer:

w=12

Step-by-step explanation:

4w-12+2w-3w-24=0

3w-36=0

3w=36

w=12

3 0
3 years ago
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